# Indications for the Nonexistence of Three-Neutron Resonances Near the Physical Region

@article{Hemmdan2002IndicationsFT, title={Indications for the Nonexistence of Three-Neutron Resonances Near the Physical Region}, author={A. Hemmdan and Walter Gloeckle and Hiroyuki Kamada}, journal={Physical Review C}, year={2002}, volume={66}, pages={139-140} }

This work presents the calculations of three-neutron(3n) resonance trajectories by solving Faddeev equations in momentum space for the states 3/2± and 1/2±. The neutron-neutron (nn) forces for the states 1S0, 3P0, 3P2 and 1D2 are of rank 2 [1]. This implies Faddeev calculations including up to 10 channels. To calculate the resonance positions the kernel of the Faddeev equations has to be analytically continued into the second energy sheet below the positive real energy axis by contour…

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## References

SHOWING 1-10 OF 47 REFERENCES

### Subthreshold resonances in few-neutron systems

- Physics
- 1997

Three- and four-neutron systems are studied within the framework of the hyperspherical approach with a local S-wave nn-potential. Possible bound and resonant states of these systems are sought as…

### S -matrix pole trajectory in a three-neutron model

- Physics
- 1978

The eigenvalue equation to the Faddeev kernel is analytically continued on to nonphysical sheets adjacent to the real energy axis of the physical sheet. The position of the pole of the three-body $S$…

### Unbound states by analytic continuation in the coupling constant

- Physics
- 1999

The energies and widths of resonance states are determined by the analytic continuation of bound-state energies as functions of a potential strength parameter ({open_quotes}the coupling…

### Two-pole structure of the 3/2(+) resonance of 5He in a dynamical microscopic model.

- PhysicsPhysical review letters
- 1993

By a realistic dynamical microscopic reaction approach to [sup 5]He we reproduce the empirical positions of the two [ital S] matrix poles associated with the 3/2[sup +] resonance, and unambiguously…

### The Quantum Mechanical Few-Body Problem

- Physics, Mathematics
- 1983

1. Elements of Potential Scattering Theory.- 1.1 The Moller Wave Operator.- 1.2 The Cross Section.- 1.3 Resolvent Operators and Green's Functions.- 1.4 Asymptotic Behaviour of the Scattering Wave…

### Searching for three-nucleon resonances.

- PhysicsPhysical review. C, Nuclear physics
- 1996

The search for three-neutron resonances which were predicted from pion double charge exchange experiments on {sup 3}He finds a state at {ital E}=14 MeV energy with 13 MeV width.

### Quantum Monte Carlo calculations of nuclei with A 7

- Physics
- 1997

We report quantum Monte Carlo calculations of ground and low-lying excited states for nuclei with A{le}7 using a realistic Hamiltonian containing the Argonne v{sub 18} two-nucleon and Urbana IX…